منابع مشابه
On the Dynamical Yang-Baxter Equation
This talk is inspired by two previous ICM talks, by V. Drinfeld (1986), and G.Felder (1994). Namely, one of the main ideas of Drinfeld’s talk is that the quantum Yang-Baxter equation, which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras, or quantum groups. On the other hand, in Felder’s talk, it is exp...
متن کاملGaussian (N, z)-generalized Yang-Baxter operators
We find unitary matrix solutions˜R(a) to the (multiplicative parameter-dependent) (N, z)-generalized Yang-Baxter equation that carry the standard measurement basis to m-level N-partite entangled states that generalize the 2-level bipartite entangled Bell states. This is achieved by a careful study of solutions to the Yang-Baxter equation discovered by Fateev and Zamolodchikov in 1982.
متن کاملOn the Set-theoretical Yang-baxter Equation
Because of this, a solution of (1) gives rise to a linear representation of the braid group Bn on V⊗n for every n. In [D], Drinfel’d raised the question of finding set-theoretical solutions of the YangBaxter equation. Specifically, we consider a set S and an invertible map R : S×S → S×S. We think of the Yang-Baxter equation (1) as an equality of maps from S×S×S to S×S×S. As in the linear case, ...
متن کاملAssociative Triples and Yang-baxter Equation
We introduce triples of associative algebras as a tool for building solutions to the Yang-Baxter equation. It turns out that the class of R-matrices thus obtained is related to the Hecke condition whose generalization subject to an associative triple is proposed. R-matrices for a wide class of Belavin-Drinfel’d triples for the sln(C) Lie algebras are derived.
متن کاملFinite Groups and Quantum Yang-baxter Equation
The solvability of many 2d lattice statistical models is closely connected to the Quantum Yang-Baxter equation (QYBE) [1, 2]. Solutions of the QYBE are equivalent to weight functions of vertex models. Probably the most simple 2d integrable system is (lattice) gauge theory. The weights of the field configurations around a plaquette satisfy the QYBE Fig.1a. (The gauge group is assumed to be finit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1993
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732393003603